Calculate Minimum Time of Sliding for Block on Wedge with Given Parameters

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To calculate the minimum time of sliding for a block on a wedge, the key parameters include the mass of the block, the angle of inclination, the coefficient of friction, and the length of the base. The challenge lies in differentiating the equations to find the optimal angle that minimizes sliding time. Participants are encouraged to share their calculations and approaches to solving the problem. Clarification is sought on specific points of confusion encountered during the differentiation process. Engaging in this discussion can help clarify the mathematical principles involved in solving the problem effectively.
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I RECENTLY GOT STUCK SOLVING THIS PROBLEM WHERE I WASN'T ABLE TO DIFFRENTIATE PROPERLY.THE PROBLEM GOES HERE BY.

Q. A BLOCK OF MASS m IS KEPT ON THE TOP OF THE WEDGE HAVING AN ANGLE OF INCLINATION a .THE FRICTION COEFFECIENT OF FRICTION BETWEEN THE BLOCK AND THE HYPOTENUSE OF THE WEDGE IS 'k'.THE LENGTH OF THE BASE OF THE ROD IS b . FOR WHAT VALUE OF ANGLE a WILL THE TIME OF SLIDING BE LEAST?
 
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Show what you've done and we can take a look.
 
question is infront of u and pls solve it,
 
:smile: Nice try! But I want you to solve it.

Where did you get stuck?
 

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